Questions tagged [vector]

Mathematical vectors, operations on vectors and vectorized programming.

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Can you recover the original vectors that, when summed together, achieved a particular criteria

I am wondering if it is possible to take the binary strings of length $3$ (tuples) whose sums have weight $2$ (i.e they have $2$ non-zero entries)(binary case, meaning they have two $1$'s entries) $$u ...
Aislin_367's user avatar
1 vote
1 answer
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How to find and delete the duplicates from lists of vectors

What I want to do is to take a list of vectors: u={{1,0,0,0},{0,1,0,0},{0,0,1,0}} v={{1,1,1,1},{1,0,0,0},{0,1,0,0}} I want to find the duplicates between u and v ...
Aislin_367's user avatar
1 vote
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Mapping two pure functions over different lists

Say if I have two lists of vectors of the same length, for example: u = {{1,0,0},{0,1,0},{0,0,1}} v = {{1,0,1},{1,1,0},{1,1,1}} I want to add (modulo 2) ...
Aislin_367's user avatar
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Labelling vector state variables for solution of system of ODEs

This might be a duplicate, but I have not seen this problem addressed for DSolve usage. I have a system of ODEs of the form Y' = AY + B When we put this into Mathematica as a vector variable: ...
Nicola Gambaro's user avatar
1 vote
2 answers
42 views

How to delete duplicate lists of vectors (in any order) from a list of lists?

I have a list of vectors: v={{{0,0,0},{0,0,1},{1,1,0}}, {{1,0,0},{1,1,1},{0,1,1}}, {{0,0,1},{0,0,0},{1,1,0}}} Clearly, the first entry and the third entry contain the same vectors. I want to delete ...
Aislin_367's user avatar
1 vote
1 answer
94 views

Extend the code for more variables (at least 100)

I have this code (not in best shape) for a problem in 3 variables. It does the job. The problem is I want to extend this to more number of variables around 100 at least. It is very painful to extend ...
Learner's user avatar
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2 answers
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Understanding SetDelayed, ":=" [closed]

Consider the example below, p = {1, 2, 3}; x = {x1,x2,x3}; fun[x_] := {{1, 0, 0}, {0, 1, 1}} . (p + x); fun2[x_] = {{1, 0, 0}, {0, 1, 1}} . (p + x); I expected <...
Adriana LE's user avatar
14 votes
1 answer
1k views

Visualizing gravity warping the fabric of spacetime

What is a stable way of creating a set of points that are attracted to a single moving point? I have tried the following: ...
martin's user avatar
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1 vote
1 answer
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Vector 3d Plotting with New Mathematica Version

Hi Used to use the old version of Mathematica back in 2020. Now the new version is updated and I am trying to run the old code in the new version. My vector plots are very different. I wonder what I ...
physicsu83's user avatar
2 votes
1 answer
181 views

3d Vector Wrap of Half sphere

How I can plot the flowing image using Mathematica? Thanks,
physicsu83's user avatar
2 votes
1 answer
45 views

NMaximize with generic domain

I want to have a function that gets generic domain and function and does maximum on this domain. For this I tried the following straight-forward code: ...
user2679290's user avatar
4 votes
2 answers
165 views

Two simple vector partition rules

We have a vector of zeros and other numbers, f.e: vector = {0, 0, 0, 9, 0, 2, 0, 5, 0, 4, 0, 5, 6, 2, 0}; The two rules: Partition the vector in such a way that (1)...
eldo's user avatar
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How to find linearly independent linear combinations of a set of vectors (general case)

If I have a list of vectors, say $v=\{v_{1}, v_{2}, \dots ,v_{n}\}$. Is there a way that I can get all linearly independent linear combinations of these vectors, such that if I change the content of ...
Aislin_367's user avatar
2 votes
1 answer
74 views

Differentiating unit tangent vector does not work

I am new to Mathematica and I want to visualize the tangent and normal vector field of a particular embedding of the circle. In my code it is [CapitalGamma][s]. When I put the unit tangent vector (uT[...
Ama's user avatar
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4 votes
1 answer
92 views

Building projection operators efficiently

The projection operator $P$ is defined in quantum mechanics as $$ P=\sum_i^n \vert\psi_i\rangle \langle \psi_i\vert, $$ where $\vert\psi_i\rangle$ is a column vector and $(\langle \psi_i\vert=(\...
wooohooo's user avatar
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2 votes
0 answers
39 views

Coloring Vector if it points at (0,0,0) or (1,1,1)

I'm trying to plot a 3D vector field on a cubic space between [0,1]. I wanted to color the vectors based on their direction, where if they point towards (0,0,0) or the closer corners (1,0,0), (0,1,0), ...
Alexandre Pires's user avatar
1 vote
2 answers
97 views

Generate family of linear inequalities from vector variable for use in `FindInstance`

Suppose that I have a vector variable xvec = Array[x, 10]. How do I generate the family of linear inequalities $$F = \{ {x\in\mathbb{R}^{10}:x_1\geq x_2,\ldots,x_9\...
rrrrr's user avatar
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1 answer
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Taking the inverse Laplace Transform as a vector operation

I am solving a system of first-order equations using matrix operations and the Laplace Transform. I begin with the matrix equation that represents the solution to my system, like this: $$ \underline{\...
villaa's user avatar
  • 187
0 votes
1 answer
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put vectors inside a vector

I have an empty vector like U = {}. In an iteration, I get u1 = {a, b} and I want to put the vector in U to have {{},{a,b}}. I can do this simply with U = {U, u1} command. But in another iteration, I ...
Mohammad Alinejad's user avatar
0 votes
2 answers
86 views

How to get Mathematica to carry out my computation of a vector norm fully?

I am relatively new to Mathematica, and I have come across the problem where Mathematica often doesn't seem to carry out calculations fully. For example: I have a vector v and want to find its norm, ...
Q.Ask's user avatar
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4 votes
1 answer
151 views

ConjugateTranspose[#] vs Conjugate[Transpose[#]] for lists [duplicate]

Bug introduced in 12.3 or earlier, fixed in 13.0. I'm getting contradictory behavior for eigenvectors of a matrix when using Conjugate, Transpose and ConjugateTranspose. I'll demonstrate using an ...
Nitin's user avatar
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1 vote
2 answers
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How to keep arrowheads in successive vectors?

I am generating successive arrows to represent vectors, but when they coincide all the arrowheads disappear except the last. But since they are vectors I want to keep all arrowheads to show direction. ...
cybervigilante's user avatar
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0 answers
28 views

Optimization over nested variables, vectors and matrices

I am trying to optimize a function that is fairly complicated, but at the end I just want to solve a parametrized assignment problem using integer linear optimization with Mathematica. The main ...
WaterFox's user avatar
  • 185
8 votes
2 answers
341 views

Dot Product and Simplification

How to simplify the expression a b . x/((a b) . x) Where a is a scalar and b and x are vectors. I have tried the usual Simplify, FullSimplify, TensorExpand etc. ...
Breugem's user avatar
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1 vote
0 answers
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Positioning of Text in a Graphics3D

I have an interesting problem to solve. I want to have Text in a Graphics3D. This can easily be done in the following way: ...
mathematica_guy's user avatar
3 votes
1 answer
80 views

ReplaceAll Elements in an Indexed Vector

Following up on how to define symbolic vectors Let x be an n-dimensional symbolic vector, where n is a positive integer large enough to be a massive pain in the butt. ...
NullPointerException's user avatar
4 votes
2 answers
354 views

How are Symbolic Vectors Defined?

It is my understanding that undefined symbols are considered scalars, so I can't index variables that aren't defined. It is possible to define a symbol as a vector of symbols as follows, allowing ...
NullPointerException's user avatar
0 votes
1 answer
80 views

Could Mathematica analytically work with operators (such as $\nabla$) and vectors?

I have the following expression: $$(\nabla+\vec{P})^2$$ where $P=(r\cos\theta sin\phi,r^4\sin\theta,r\cos^3\phi)$ I would like to open the brackets and simplify the expression. Are there in ...
Mam Mam's user avatar
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0 answers
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Functions for translating a vector from one coordinate system to another

I have a vector $\vec{H}$ with components in Cartesian coordinate system $(x,y,z)$: $\vec{H}=(0,0,H)$. I would like to obtain coordinate of this vector in Spherical coordinate system $(r,\theta,\phi)$....
Mam Mam's user avatar
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5 votes
1 answer
53 views

Assumptions about indexed variables

I am interested in the most efficient way to impose assumptions on indexed variables. In the following stylized problem, the following code ...
oyy's user avatar
  • 187
3 votes
1 answer
89 views

Verifying matrix exponential identity

I wish to verify the following matrix exponential identity using Mathematica: $$ \mathbb{e}^{i.x.\hat{n}.\sigma}= \cos{x}.\mathbb{I}+ i\sin{x}(\hat{n}.\sigma) $$ where $\mathbb{I}$ is the $2\times2$ ...
usernew76's user avatar
1 vote
1 answer
158 views

VectorQ with "mathematical" typography

Define a matrix by: where the "mathematical" typography is crucial here. Then MatrixQ[mm] yields True (as expected). ...
David G. Stork's user avatar
0 votes
1 answer
44 views

How to calculate vectors? [closed]

Given vector a=(m, 3), vector b=(1, m+1), if vector a is perpendicular to vector b, calculate the value of m?
csn899's user avatar
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2 votes
1 answer
115 views

Increase precision of matrix multiplication [closed]

I am computing U.U......U.x, where x is a vector, U a square matrix and the product involves N times U, i.e., (U^N).x if you like. One way to do this is ...
Philipp's user avatar
  • 115
1 vote
2 answers
79 views

(vector)Rotation for A to point towards B [closed]

Assuming, Point A=vector2( 210,400) B=vector2(-120,480) Is there a short formula to find the angle to rotate A towards B ? (A is currently heading towards the Y-axis) Currently, using Pythagorean ...
Subhradip Sarkar's user avatar
3 votes
3 answers
145 views

I need to manipulate a line that can rotate in (-1,7) right where the dashed arrow touches the blue line by changing the direction of the red arrow

Graphics[{{Blue, Line[{{-5, 3}, {5, 8}}]}, {Dashed, Arrow[{{0, 0}, P}]}, Red, Arrow[{{0, 0}, v}]}, Axes -> True, AxesLabel -> {x, y}] I've tried combining ...
AllenBowels's user avatar
1 vote
1 answer
55 views

How to test scalar product variables against each other?

Curious if there is a way to save time with scalar product multiplication with several variables? I have a 8x4 matrix and i wanna check if all the columns are orthogonal with each other, so ive taken ...
Robin Petersson's user avatar
1 vote
2 answers
188 views

How to find vector in the subspace 𝑊 that is the closest to y in mathematica

New to mathematica and have looked into the matrix page but can't find anything to help. y= (4,3,3,1), u1=(1,1,0,1), u2= (-1,3,1,-2), u3=(-1,0,1,1)
Ali waheed's user avatar
2 votes
1 answer
81 views

Matricization of a vector

Definitions Define a vector Tuples[a[0, 1], n] of elements $a[i_1,...,i_n], i_j \in \{0,1\} ~\forall j$, that is for instance ...
Baloo's user avatar
  • 167
7 votes
2 answers
373 views

Why do some functions require its arguments to be in a list while others accept these as a sequence? [closed]

With Midpoint[{{4, -2}, {2, 5}}], the vectors must be in a list. But with EuclideanDistance[{-2, 2}, {3, -6}], they don't. These ...
cybervigilante's user avatar
0 votes
1 answer
69 views

Empty VectorPlot3D in Magnetic Field of Solenoid

I have been trying to plot the 3D magnetic field of a solenoid, with the below expression 1: With C, the generalised complete elliptic integral, defined as follows: I have implemented all of this in ...
Ariana Fenris's user avatar
0 votes
1 answer
67 views

ListVectorPlot3D not plotting anything nor giving any error, just empty 3D axes

It's as simple as the title says. My code is: ...
Ethan1987's user avatar
0 votes
0 answers
52 views

How to improve VectorDensityPlot ColorFuntion resolution?

Whenever I use VectorDensityPlot I get presented with extremely poor resolution colour function with cuboid shape: ...
Lewis Kelsey's user avatar
3 votes
3 answers
122 views

Checking conditions of 2 dimensional table

I have a 2 dimensional table and I would like to test if for each vector, x^2 + y^2 > 5. vector is an element (x.y) of the table. Is it possible to manipulate the elements of a table this way? <...
epselonzero's user avatar
5 votes
2 answers
117 views

Issue with the norm of a vector

Consider two vectors v1 = 1/Sqrt[2] {{Exp[I y/2]}, {Exp[-I y/2]}}; and v2 = I/Sqrt[2] {{Exp[-I y/2]}, {-Exp[I y/2]}};, such that ...
User101's user avatar
  • 593
3 votes
2 answers
227 views

Linear dependence of two vectors is a necessary and sufficient condition for an equality

This is an example in the textbook. To prove: for any real number** $a_1, a_2, \cdots, a_n, b_1, b_2, \cdots b_n$, linear dependence of the two vectors $\left(a_1, a_2, \cdots, a_n\right)$ and $\left(...
lotus2019's user avatar
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1 vote
2 answers
116 views

Showing each component of velocity in a helix

In this animation, I want to show each component of velocity (V_x, V_y and V_z) with arrows ...
user84456's user avatar
  • 1,492
2 votes
1 answer
59 views

Simplifying expressions with dot or non-commutative product (without the help of NCAlgebra)

I have two expressions (with dot and non-commutative product): $f=J^T.x+J.x$ $g=J^T**x+J**x$ I want to simplify them and get the following expressions: $f=(J^T+J).x$ $g=(J^T+J)**x$ In an attempt to ...
dtn's user avatar
  • 2,344
8 votes
1 answer
193 views

Weird black line appears in vector density plot

Bug introduced in 13.0, persisting through 13.1. I am plotting a vector field data where the background color indicates the vector orientation. I use ...
xiaohuamao's user avatar
  • 4,688
3 votes
1 answer
143 views

Calculating power series of quantum operators on kets

I am using the "Quantum" add-on package to perform some quantum mechanical calculations using SU(1,1) generators. The code that I've developed reads ...
Shasa's user avatar
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